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Finding the Fourth Proportional to 182,186, 273,420.12 and 126,417.68

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Solution

The fourth proportional to 182,186, 273,420.12 and 126,417.68 is: 189,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,186 : 273,420.12 = 126,417.68 : x
  2. Step 2: Convert to fraction form
    182,186/273,420.12 = 126,417.68/x
  3. Step 3: Cross multiply
    182,186x = 273,420.12 × 126,417.68
  4. Step 4: Simplify right side
    182,186x = 34,565,137,235.72
  5. Step 5: Solve for x
    x = 34,565,137,235.72/182,186
  6. Step 6: Final answer
    x = 189,724.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.